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Finding the Fourth Proportional to 2,666.14, 3,999.33 and 817.12

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Solution

The fourth proportional to 2,666.14, 3,999.33 and 817.12 is: 1,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.14 : 3,999.33 = 817.12 : x
  2. Step 2: Convert to fraction form
    2,666.14/3,999.33 = 817.12/x
  3. Step 3: Cross multiply
    2,666.14x = 3,999.33 × 817.12
  4. Step 4: Simplify right side
    2,666.14x = 3,267,932.53
  5. Step 5: Solve for x
    x = 3,267,932.53/2,666.14
  6. Step 6: Final answer
    x = 1,225.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.